What is the Least Common Multiple of 96638 and 96651?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 96638 and 96651 is 9340159338.
LCM(96638,96651) = 9340159338
Least Common Multiple of 96638 and 96651 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96638 and 96651, than apply into the LCM equation.
GCF(96638,96651) = 1
LCM(96638,96651) = ( 96638 × 96651) / 1
LCM(96638,96651) = 9340159338 / 1
LCM(96638,96651) = 9340159338
Least Common Multiple (LCM) of 96638 and 96651 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96638 and 96651. First we will calculate the prime factors of 96638 and 96651.
Prime Factorization of 96638
Prime factors of 96638 are 2, 211, 229. Prime factorization of 96638 in exponential form is:
96638 = 21 × 2111 × 2291
Prime Factorization of 96651
Prime factors of 96651 are 3, 10739. Prime factorization of 96651 in exponential form is:
96651 = 32 × 107391
Now multiplying the highest exponent prime factors to calculate the LCM of 96638 and 96651.
LCM(96638,96651) = 21 × 2111 × 2291 × 32 × 107391
LCM(96638,96651) = 9340159338
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